-4(3n+3)=23-5n

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Solution for -4(3n+3)=23-5n equation:


Simplifying
-4(3n + 3) = 23 + -5n

Reorder the terms:
-4(3 + 3n) = 23 + -5n
(3 * -4 + 3n * -4) = 23 + -5n
(-12 + -12n) = 23 + -5n

Solving
-12 + -12n = 23 + -5n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '5n' to each side of the equation.
-12 + -12n + 5n = 23 + -5n + 5n

Combine like terms: -12n + 5n = -7n
-12 + -7n = 23 + -5n + 5n

Combine like terms: -5n + 5n = 0
-12 + -7n = 23 + 0
-12 + -7n = 23

Add '12' to each side of the equation.
-12 + 12 + -7n = 23 + 12

Combine like terms: -12 + 12 = 0
0 + -7n = 23 + 12
-7n = 23 + 12

Combine like terms: 23 + 12 = 35
-7n = 35

Divide each side by '-7'.
n = -5

Simplifying
n = -5

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